derivative f(x)=(2x-5)^3

Lösung

ableitung von

f (x) = (2 x - 5)^{3}

6 (2 x - 5)^{2}

Schritte zur Lösung

\frac{d}{d x} ((2 x - 5)^{3})

Wende die Kettenregel an:

3 (2 x - 5)^{2} \frac{d}{d x} (2 x - 5)

= 3 (2 x - 5)^{2} \frac{d}{d x} (2 x - 5)

\frac{d}{d x} (2 x - 5) = 2

= 3 (2 x - 5)^{2} \cdot 2

Vereinfache

= 6 (2 x - 5)^{2}

s l o p e in t erce pt (- 3.5) (6.2)

x \to 2 lim (4 x^{2} - 2 x - 6)

\int \frac{x}{x ^{2} - 4} + \frac{x}{( x ^{2} - 4 ) ^{3}} d x

\int 6 sin (2 x) - 3 cos (3 x) d x

x \to 1 lim ((x + 2)^{4} (4 x^{2}))